nC0, nC1, nC2, nC3,….. nCr… nCn… are called Binomial Coefficients. Recall the formula for factorial of a number n defined as n! = n (n – 1) (n – 2 ) (n – 3) (n – 4)……3.2.1
For Eg,
5;! = 5.4.3.2.1 = 120
4;! = 4.3.2.1 = 24
3;! = 3.2.1 = 6
2;! = 2.1= 2
1;! = 1 and note that
0;! = 1
The values of the Binomial Coefficients are determined by the following formula:
Consider the Examples:
